The interquartile range of the data set is 4.2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12Which explains whether or not 12 is an outlier?
Answer
A
Twelve is an outlier because it is greater than the sum of 7 and 4.
B
Twelve is an outlier because it is less than the sum of 7 and 6.
C
Twelve is not an outlier because it is greater than the sum of 7 and 4.
D
Twelve is not an outlier because it is less than the sum of 7 and 6.
Explanation
The data have an upper quartile of 7 and an interquartile range of 4. The upper outlier fence is Q3 + 1.5 × IQR = 7 + 1.5 × 4 = 7 + 6 = 13. Since 12 is less than 13, it is not an outlier; this matches choice D.
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